Mathematics
Euclid’s Division Lemma
Practice questions
If (a=4q+2), what is the remainder when (a) is divided by (4)?In Euclid’s division lemma, which condition is necessary for (b)?What is the remainder when (119) is divided by (14)?If (a=7q+9), what is the correct remainder when (a) is divided by (7)?Which statement is correct according to Euclid’s division lemma?If (90=13 \times 6+12), which number is the divisor?If a number leaves remainder (6) when divided by (10), what is its general form?What is the remainder when (49) is divided by (50)?If (b=18) in (a=bq+r), what is the greatest possible value of (r)?If (n) leaves remainder (3) when divided by (8), what is the remainder when (n+4) is divided by (8)?According to Euclid’s division lemma, what are the quotient and remainder when (134) is divided by (11)?If (b=14) in (a=bq+r), which range is correct for (r)?What possible remainders can occur when a positive integer is divided by (10)?If a number divided by (12) gives quotient (9) and remainder (5), what is the number?What can be the general form of a positive integer when divided by (6)?Which of the following is the correct Euclidean form for dividing (87) by (13)?What is the remainder when (221) is divided by (18)?If (a=16q+21), what is the correct remainder when (a) is divided by (16)?In Euclid’s division lemma (a=bq+r), what does (a) represent?If (a=97), (q=8), and (r=1), what is the value of (b)?